1663158960 has 160 divisors (see below), whose sum is σ = 6065772480. Its totient is φ = 417411072.

The previous prime is 1663158953. The next prime is 1663158983. The reversal of 1663158960 is 698513661.

1663158960 is a `hidden beast` number, since 1 + 6 + 6 + 3 + 1 + 589 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14074 + ... + 59366.

It is an arithmetic number, because the mean of its divisors is an integer number (37911078).

Almost surely, 2^1663158960 is an apocalyptic number.

1663158960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1663158960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3032886240).

1663158960 is an abundant number, since it is smaller than the sum of its proper divisors (4402613520).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1663158960 is a wasteful number, since it uses less digits than its factorization.

1663158960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45332 (or 45320 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 1663158960 is about 40781.8459611627. The cubic root of 1663158960 is about 1184.7987480692.

The spelling of 1663158960 in words is "one billion, six hundred sixty-three million, one hundred fifty-eight thousand, nine hundred sixty".